Least Common Multiple (LCM) of 149 and 150
The least common multiple (LCM) of 149 and 150 is 22350.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 149 and 150?
First, calculate the GCD of 149 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 150 = 0 remainder 149 |
| 2 | 150 ÷ 149 = 1 remainder 1 |
| 3 | 149 ÷ 1 = 149 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 43 | 5418 |
| 89 and 158 | 14062 |
| 198 and 177 | 11682 |
| 56 and 114 | 3192 |
| 85 and 166 | 14110 |